erweitern ((cos(x)+1)^2)/2

Lösung

erweitern

\frac{( cos ( x ) + 1 ) ^{2}}{2}

\frac{cos ^{2} ( x )}{2} + cos (x) + \frac{1}{2}

Schritte zur Lösung

\frac{( cos ( x ) + 1 ) ^{2}}{2}

(cos (x) + 1)^{2} = cos^{2} (x) + 2 cos (x) + 1

= \frac{cos ^{2} ( x ) + 2 cos ( x ) + 1}{2}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{cos ^{2} ( x ) + 2 cos ( x ) + 1}{2} = \frac{cos ^{2} ( x )}{2} + \frac{2 cos ( x )}{2} + \frac{1}{2}

= \frac{cos ^{2} ( x )}{2} + \frac{2 cos ( x )}{2} + \frac{1}{2}

Teile die Zahlen:

\frac{2}{2} = 1

= \frac{cos ^{2} ( x )}{2} + cos (x) + \frac{1}{2}

e x p an d \frac{1 - x}{x ( 1 + x ^{2} )}

e x p an d \frac{2 x + 4}{( x - 1 ) ( x + 3 )}

e x p an d 2.856 \cdot 1 0^{7}

e x p an d \frac{5 ( x - 10 )}{2}

e x p an d P (4, - 1) y Q (- 2, 5)